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economical n.  and  plaindrome

First numbers that belong to both sets:

1, 2, 3, 5, 7, 11, 13, 14, 15, 16, 17, 19, 23, 25, 27, 29, 35, 37, 47, 49, 59, 67, 79, 89, 111, 112, 113, 115, 118, 119, 122, 123, 125, 127, 128, 129, 133, 134, 135, 137, 139, 145, 146, 147, 149, 155, 157, 158, 159, 166, 167, 169, 177, 178, 179, 189, 199, 223, 224, 227, 229, 233, 235, 237, 239, 245, 249, 256, 257, 259, 267, 269, 277, 289, 335, 337, 347, 349, 355, 359, 367, 379, 389, 445, 448, 449, 457, 467, 469, 479, 499, 557, 567, 569, 577, 599, 677, 679, 1113, 1114, 1115, 1117, 1119, 1123, 1125, 1126, 1127, 1129, 1134, 1135, 1136, 1137, 1138, 1139, 1145, 1147, 1149, 1157, 1159, 1167, 1168, 1169, 1189, 1223, 1225, 1226, 1227, 1229, 1234, 1237, 1238, 1239, 1245, 1246, 1247, 1249, 1255, 1257, 1259, 1267, 1269, 1277, 1279, 1289, 1299, 1333, 1335, 1337, 1344, 1345, 1346, 1347, 1349, 1355, 1357, 1358, 1366, 1367, 1369, 1377, 1379, 1389, 1399, 1445, 1447, 1455, 1457, 1458, 1459, 1466, 1477, 1478, 1489, 1499, 1555, 1559, 1567, 1568, 1569, 1577, 1579, 1589, 1667, 1669, 1678, 1679, 1689, 1699, 1777, 1779, 1789, 1799, 1888, 1889, 1999, 2225, 2229, 2237, 2239, 2245, 2257, 2267, 2269, 2279, 2333, 2335, 2336, 2339, 2345, 2347, 2349, 2357, 2359, 2368, 2377, 2389, 2399, 2447, 2449, 2455, 2459, 2467, 2469, 2477, 2479, 2555, 2557, 2559, 2569, 2577, 2579, 2589, 2677, 2688, 2689, 2699, 2777, 2779, 2789, 2999, 3337, 3347, 3359, 3389, 3449, 3455, 3456, 3457, 3467, 3469, 3479, 3499, 3557, 3559, 3569, 3577, 3589, 3599, 3677, 3779, 3888, 3889, 3899, 4447, 4457, 4459, 4489, 4555, 4559, 4567, 4679, 4779, 4789, 4799, 4889, 4999, 5557, 5569, 5579, 5589.

Some larger examples :